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Browsing Mathematics / Matematik by Author "İYTE, Fen Fakültesi, Matematik Bölümü"
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The AblowitzLadik lattice system by means of the extended (G′ / G)expansion method
Aslan, İsmail (Elsevier, 201007)We analyzed the AblowitzLadik lattice system by using the extended (G′ / G)expansion method. Further discrete soliton and periodic wave solutions with more arbitrary parameters are obtained. We observed that some previously ... 
Absolute cosupplement and absolute cococlosed modules
Keskin Tütüncü, Derya; Toksoy, Sultan Eylem (Hacettepe Üniversitesi, 2013)A module M is called an absolute cococlosed (absolute cosupplement) module if whenever M ≅ T/X the submodule X of T is a coclosed (supplement) submodule of T. Rings for which all modules are absolute cococlosed (absolute ... 
Absolutely spure modules and neatflat modules
Büyükaşık, Engin; Durğun, Yılmaz (Taylor & Francis, 201502)Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective hull of every simple right Rmodules is neatflat if and only if every absolutely pure right Rmodule is neatflat. A ... 
An analytic approach to a class of fractional differentialdifference equations of rational type via symbolic computation
Aslan, İsmail (Wiley, 201501)Fractional derivatives are powerful tools in solving the problems of science and engineering. In this paper, an analytical algorithm for solving fractional differentialdifference equations in the sense of Jumarie's modified ... 
Analytic investigation of a reactionDiffusion brusselator model with the timespace fractional derivative
Aslan, İsmail (De Gruyter, 201404)It is well known that many models in nonlinear science are described by fractional differential equations in which an unknown function appears under the operation of a derivative of fractional order. In this study, we ... 
Analytic investigation of the (2 + 1)dimensional Schwarzian Korteweg–de Vries equation for traveling wave solutions
Aslan, İsmail (Elsevier BV., 20110215)By means of the two distinct methods, the Expfunction method and the extended (G0/G)expansion method, we successfully performed an analytic study on the (2 + 1)dimensional Schwarzian Korteweg–de Vries equation. We ... 
Analytic solutions to nonlinear differentialdifference equations by means of the extended (G′/G)expansion method
Aslan, İsmail (IOP Publishing, 201010)In this paper, a discrete extension of the (G′/G)expansion method is applied to a relativistic Toda lattice system and a discrete nonlinear Schrödinger equation in order to obtain discrete traveling wave solutions. Closed ... 
Analytic study on two nonlinear evolution equations by using the (G′/G)expansion method
Aslan, İsmail; Öziş, Turgut (Elsevier, 200903)The validity and reliability of the socalled (G′/G)expansion method is tested by applying it to two nonlinear evolutionary equations. Solutions in more general forms are obtained. When the parameters are taken as special ... 
Angular analysis of the decay B0→K*0μ+μ from pp collisions at s=8 TeV
CMS Collaboration; Karapınar, Güler (Elsevier, 201602)The angular distributions and the differential branching fraction of the decay B0→K*(892)0μ+μ are studied using data corresponding to an integrated luminosity of 20.5 fb1 collected with the CMS detector at the LHC in pp ... 
Angular coefficients of Z bosons produced in pp collisions at (root) S=8 TeV and decaying to μ+μ as a function of transverse momentum and rapidity
CMS Collaboration; Karapınar, Güler (Elsevier, 201511)Measurements of the five most significant angular coefficients, A0 through A4, for Z bosons produced in pp collisions at s=8 TeV and decaying to μ+μ are presented as a function of the transverse momentum and rapidity of ... 
Application of the division theorem to nonlinear physical models for constructing traveling waves
Aslan, İsmail (Politechnica University of Bucharest, 2013)We extend the socalled first integral method, which is based on the division theorem, to the SharmaTassoOlver equation and the (2+1)dimensional modified Boussinesq equation. Our approach provides first integrals in ... 
Application of the expfunction method to nonlinear lattice differential equations for multiwave and rational solutions
Aslan, İsmail (Wiley, 201109)In this paper, we extend the basic Expfunction method to nonlinear lattice differential equations for constructing multiwave and rational solutions for the first time. We consider a differentialdifference analogue of ... 
Application of the Expfunction method to the (2+1)dimensional BoitiLeonPempinelli equation using symbolic computation
Aslan, İsmail (Taylor & Francis, 201103)Locate fulltext(opens in a new window)Full Text(opens in a new window)View at Publisher Export  Download  Add to List  More... International Journal of Computer Mathematics Volume 88, Issue 4, March 2011, ... 
Application of the G′ / Gexpansion method to Kawahara type equations using symbolic computation
Öziş, Turgut; Aslan, İsmail (Elsevier, 201006)In this paper, Kawahara type equations are selected to illustrate the effectiveness and simplicity of the G′ / Gexpansion method. With the aid of a symbolic computation system, three types of more general traveling wave ... 
Applications of the pseudo residualfree bubbles to the stabilization of convectiondiffusionreaction problems
Şendur, Ali; Neslitürk, Ali İhsan (Springer, 201203)It is known that the enrichment of the polynomial finite element space of degree 1 by bubble functions results in a stabilized scheme of the SUPGtype for the convectiondiffusionreaction problems. In particular, the ... 
Applications of the pseudo residualfree bubbles to the stabilization of the convectiondiffusionreaction problems in 2D
Şendur, Ali; Neslitürk, Ali İhsan; Kaya, Adem (Elsevier, 201408)A stabilized finite element method is studied herein for twodimensional convectiondiffusionreaction problems. The method is based on the residualfree bubbles (RFB) method. However we replace the RFB functions by their ... 
Asymptotic behavior of linear impulsive integrodifferential equations
Akhmet, Marat; Tleubergenova, M. A.; Yılmaz, Oğuz (Elsevier, 200808)Asymptotic equilibria of linear integrodifferential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integrodifferential equations are ... 
Azimuthal decorrelation of jets widely separated in rapidity in pp collisions at √s = 7 TeV
CMS Collaboration; Karapınar, Güler (Springer, 201608)The decorrelation in the azimuthal angle between the most forward and the most backward jets (MuellerNavelet jets) is measured in data collected in pp collisions with the CMS detector at the LHC at s=7 TeV. The measurement ... 
Berry's phase under the DzyaloshinskiiMoriya interaction
Kwan, M. K.; Gürkan, Zeynep Nilhan; Kwek, L. C. (American Physical Society, 200806)In this paper, we study the DzyaloshinskiiMoriya (DM) anisotropic XX spinchain model in the presence of an external homogeneous magnetic field. We found that the Berry phase of the system varies interestingly with small ... 
Bianchi I model: An alternative way to model the presentday Universe
Russell, Esra; Kılınç, Can Battal; Pashaev, Oktay (Oxford University Press, 201408)Although the new era of highprecision cosmology of the cosmic microwave background (CMB) radiation improves our knowledge to understand the infant as well as the presentday Universe, it also leads us to question the main ...